I think this is really important because it is interfering in your therapy and your ability to use your T as a resource. I know the shame feels like it will kill you, please trust me I know. But unfortunately, it doesn't actually kill you. But I will tell you in all the times I have gone to my T with a deep sense of shame (which seriously I have lost track of at this point), unfailingly I have felt better.
Not sure if you've ever read this particular post but it might help: The Paradox of Shame - Part I (and sorry, there is a part 2

The only way through shame is to speak of it. What a sucky system, but its the only one we have.
I hope the session, though hard, leaves you in a better place.
AG